scholarly journals Toward the stabilization of extra dimensions by brane dynamics

2015 ◽  
Vol 30 (11) ◽  
pp. 1550055 ◽  
Author(s):  
Noriaki Kitazawa
Keyword(s):  
Compact Space ◽  
Dimensional Space ◽  
Scalar Fields ◽  
Open String ◽  
Closed String ◽  
Tree Level ◽  
Internal Space ◽  
Massless Scalar ◽  
Dimensional Space Time ◽  
String Worldsheet

All the models of elementary particles and their interactions derived from String Theory involve a compact six-dimensional internal space. Its volume and shape should be fixed or stabilized, since otherwise massless scalar fields (moduli) reflecting their deformations appear in our four-dimensional space–time, with sizable effects on known particles and fields. We propose a strategy toward stabilizing the compact space without fluxes of three-form fields from closed strings. Our main motivation and goal is to proceed insofar as possible within conventional string worldsheet theory. As we shall see, D-branes with magnetic flux ("magnetized D-branes") and the forces between them can be used to this end. We investigate here some necessary ingredients: open string one-loop vacuum amplitudes between magnetized D-branes, magnetized D-branes fixed at orbifold singularities, and potential energies among such D-branes in the compact space that result from tree-level closed string exchanges.

scholarly journals Geometry of orientifold vacua and supersymmetry breaking

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Thibaut Coudarchet ◽  
Emilian Dudas ◽  
Hervé Partouche
Keyword(s):  
Field Theory ◽  
Supersymmetry Breaking ◽  
Effective Field Theory ◽  
Scalar Potential ◽  
Open String ◽  
Closed String ◽  
Effective Field ◽  
Internal Space ◽  
Gravitino Mass ◽  
The One

Abstract Starting from a peculiar orientifold projection proposed long ago by Angelantonj and Cardella, we elaborate on a novel perturbative scenario that involves only D-branes, together with the two types of orientifold planes O± and anti-orientifold planes $$ {\overline{\mathrm{O}}}_{\pm } $$ O ¯ ± . We elucidate the microscopic ingredients of such models, connecting them to a novel realization of brane supersymmetry breaking. Depending on the position of the D-branes in the internal space, supersymmetry can be broken at the string scale on branes, or alternatively only at the massive level. The main novelty of this construction is that it features no NS-NS disk tadpoles, while avoiding open-string instabilities. The one-loop potential, which depends on the positions of the D-branes, is minimized for maximally broken, non-linearly realized supersymmetry. The orientifold projection and the effective field theory description reveal a soft breaking of supersymmetry in the closed-string sector. In such models it is possible to decouple the gravitino mass from the value of the scalar potential, while avoiding brane instabilities.

QUANTIZATION OF THE LIOUVILLE MODE AND STRING THEORY

1989 ◽  
Vol 04 (11) ◽  
pp. 1033-1041 ◽  
Author(s):  
SUMIT R. DAS ◽  
SATCHIDANANDA NAIK ◽  
SPENTA R. WADIA
Keyword(s):  
String Theory ◽  
Dimensional Space ◽  
Scalar Fields ◽  
Space Time ◽  
Two Dimensions ◽  
General Covariance ◽  
World Sheet ◽  
Lorentzian Signature ◽  
Dimensional Space Time ◽  
Background Fields

We discuss the space-time interpretation of bosonic string theories, which involve d scalar fields coupled to gravity in two dimensions, with a proper quantization of the world-sheet metric. We show that for d>25, the theory cannot describe string modes consistently coupled to each other. For d=25 this is possible; however, in this case the Liouville mode acts as an extra timelike variable and one really has a string moving in 26-dimensional space-time with a Lorentzian signature. By analyzing such a string theory in background fields, we show that the d=25 theory possesses the full 26-dimensional general covariance.

THERMODYNAMIC POTENTIAL FOR SCALAR FIELDS IN SPACE-TIME WITH HYPERBOLIC SPATIAL PART

1992 ◽  
Vol 07 (39) ◽  
pp. 3677-3688 ◽  
Author(s):  
GUIDO COGNOLA ◽  
LUCIANO VANZO
Keyword(s):  
Thermodynamic Potential ◽  
Dimensional Space ◽  
Scalar Fields ◽  
Space Time ◽  
Selberg Trace Formula ◽  
Charged Scalar ◽  
Spatial Part ◽  
Regularization Techniques ◽  
Dimensional Space Time ◽  
Charged Scalar Field

The thermodynamic potential for a charged scalar field of mass m on a (3+1)-dimensional space-time with hyperbolic H3/Γ spatial part is evaluated using zeta-function and heat kernel regularization techniques and Selberg trace formula for co-compact group Γ. High and low temperature expansions are obtained and discussed in detail.

Neutrino stress tensor regularization in two-dimensional space-time

1977 ◽  
Vol 356 (1685) ◽  
pp. 259-268 ◽  
Keyword(s):  
Stress Tensor ◽  
Dimensional Space ◽  
Space Time ◽  
Scalar Case ◽  
Massless Scalar ◽  
Massless Scalar Field ◽  
Two Dimensional ◽  
Massless Spin ◽  
Dimensional Space Time ◽  
Point Splitting

The method of covariant point-splitting is used to regularize the stress tensor for a massless spin 1/2 (neutrino) quantum field in an arbitrary two-dimensional space-time. A thermodynamic argument is used as a consistency check. The result shows that the physical part of the stress tensor is identical with that of the massless scalar field (in the absence of Casimir-type terms) even though the formally divergent expression is equal to the negative of the scalar case.

scholarly journals OPEN-CLOSED DUALITY: LESSONS FROM MATRIX MODEL

2004 ◽  
Vol 19 (11) ◽  
pp. 841-853 ◽  
Author(s):  
ASHOKE SEN
Keyword(s):  
Field Theory ◽  
String Theory ◽  
Matrix Model ◽  
String Field Theory ◽  
Classical Result ◽  
Open String ◽  
Closed String ◽  
Tree Level ◽  
Two Dimensional

Recent investigations involving the decay of unstable D-branes in string theory suggest that the tree level open string theory which describes the dynamics of the D-brane already knows about the closed string states produced in the decay of the brane. We propose a specific conjecture involving quantum open string field theory to explain this classical result, and show that the recent results in two-dimensional string theory are in exact accordance with this conjecture.

MASSLESS SCALAR FIELDS IN NON-ABELIAN KALUZA-KLEIN THEORY

1994 ◽  
Vol 09 (04) ◽  
pp. 507-515 ◽  
Author(s):  
M. ARIK ◽  
V. GABAY
Keyword(s):  
Cosmological Constant ◽  
Direct Product ◽  
Scalar Fields ◽  
Gauge Fields ◽  
Internal Space ◽  
Massless Scalar ◽  
Klein Theory ◽  
Euler Form ◽  
Odd Dimensions ◽  
Kaluza Klein

We investigate the presence of massless scalar fields in a Kaluza—Klein theory based on a dimensionally continued Euler-form action. We show that massless scalar fields exist provided that the internal space is a direct product of two irreducible manifolds. The condition of a vanishing effective four-dimensional cosmological constant and the presence of a graviton, gauge fields and massless scalar fields can be satisfied if both irreducible manifolds have odd dimensions and the sum of these dimensions is equal to the dimension of the Euler form.

Quantum vacuum stress without regularization in two-dimensional space-time

1977 ◽  
Vol 354 (1679) ◽  
pp. 529-532 ◽  
Keyword(s):  
Stress Tensor ◽  
Dimensional Space ◽  
Space Time ◽  
Massless Scalar ◽  
Two Dimensional ◽  
Quantum Vacuum ◽  
Curved Space ◽  
Spinor Fields ◽  
Dimensional Space Time ◽  
Point Splitting

It is proved that there is a unique conserved stress tensor possessing a local trace, in the two-dimensional quantum theory of massless scalar and spinor fields propagating in curved space-time. No regularization is therefore required to obtain explicit expressions for the stress tensor. The results agree exactly with earlier expressions obtained from point-splitting regularization.

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